Solve for B (complex solution)
\left\{\begin{matrix}B=-\frac{c\left(2-c\right)}{C}\text{, }&C\neq 0\\B\in \mathrm{C}\text{, }&\left(c=0\text{ or }c=2\right)\text{ and }C=0\end{matrix}\right.
Solve for C (complex solution)
\left\{\begin{matrix}C=-\frac{c\left(2-c\right)}{B}\text{, }&B\neq 0\\C\in \mathrm{C}\text{, }&\left(c=0\text{ or }c=2\right)\text{ and }B=0\end{matrix}\right.
Solve for B
\left\{\begin{matrix}B=-\frac{c\left(2-c\right)}{C}\text{, }&C\neq 0\\B\in \mathrm{R}\text{, }&\left(c=0\text{ or }c=2\right)\text{ and }C=0\end{matrix}\right.
Solve for C
\left\{\begin{matrix}C=-\frac{c\left(2-c\right)}{B}\text{, }&B\neq 0\\C\in \mathrm{R}\text{, }&\left(c=0\text{ or }c=2\right)\text{ and }B=0\end{matrix}\right.
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BC-c^{2}=-2c
Subtract 2c from both sides. Anything subtracted from zero gives its negation.
BC=-2c+c^{2}
Add c^{2} to both sides.
CB=c^{2}-2c
The equation is in standard form.
\frac{CB}{C}=\frac{c\left(c-2\right)}{C}
Divide both sides by C.
B=\frac{c\left(c-2\right)}{C}
Dividing by C undoes the multiplication by C.
BC-c^{2}=-2c
Subtract 2c from both sides. Anything subtracted from zero gives its negation.
BC=-2c+c^{2}
Add c^{2} to both sides.
BC=c^{2}-2c
The equation is in standard form.
\frac{BC}{B}=\frac{c\left(c-2\right)}{B}
Divide both sides by B.
C=\frac{c\left(c-2\right)}{B}
Dividing by B undoes the multiplication by B.
BC-c^{2}=-2c
Subtract 2c from both sides. Anything subtracted from zero gives its negation.
BC=-2c+c^{2}
Add c^{2} to both sides.
CB=c^{2}-2c
The equation is in standard form.
\frac{CB}{C}=\frac{c\left(c-2\right)}{C}
Divide both sides by C.
B=\frac{c\left(c-2\right)}{C}
Dividing by C undoes the multiplication by C.
BC-c^{2}=-2c
Subtract 2c from both sides. Anything subtracted from zero gives its negation.
BC=-2c+c^{2}
Add c^{2} to both sides.
BC=c^{2}-2c
The equation is in standard form.
\frac{BC}{B}=\frac{c\left(c-2\right)}{B}
Divide both sides by B.
C=\frac{c\left(c-2\right)}{B}
Dividing by B undoes the multiplication by B.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}